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230665344000 = 21035372132341
BaseRepresentation
bin1101011011010010111…
…0011101010000000000
3211001101110112120020220
43112310232131100000
512234400312002000
6253544410503040
722444050034200
oct3266456352000
9731343476226
10230665344000
1189908634003
1238855434a80
13189a04ab340
14b242a42400
1560006c71a0
hex35b4b9d400

230665344000 has 2112 divisors, whose sum is σ = 1027462205952. Its totient is φ = 45416448000.

The previous prime is 230665343983. The next prime is 230665344011. The reversal of 230665344000 is 443566032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5625983980 + ... + 5625984020.

Almost surely, 2230665344000 is an apocalyptic number.

230665344000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230665344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513731102976).

230665344000 is an abundant number, since it is smaller than the sum of its proper divisors (796796861952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230665344000 is a wasteful number, since it uses less digits than its factorization.

230665344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 230665344000 in words is "two hundred thirty billion, six hundred sixty-five million, three hundred forty-four thousand".